Question

The average marks scored by Naman and Dhruv are 1085. The average marks scored by Manik and Dhruv are 1015. If Manik scored 658 marks, then the marks scored by Naman are

Answer 1

Answer:

798

Step-by-step explanation:

let marks of naman be x , marks of dhruv be y and marks of manik be z

average marks scored by naman and dhruv are 1085

so,(x+y)/2=1085

       (x+y)=1085×2

       (x+y)=2170  .........(1)

the average marks scored by manik and dhruv are 1015

so,(y+z)/2=1015

       (y+z)=1015×2

       (y+z)=2030  ........(2)

given, marks scored by manik are 658. thus, z=658

substitute z=658 in equation 2

        y+658=2030

                 y=2030-658

                 y=1372

substitute y=1372 in equation 1

        x+1372=2170

                  x=2170-1372

                  x=798

∴marks scored by naman are 798

hope it helps you